Heat Transfer During Unsaturated Flow in Porous Media

Model equations for simple systems involving heat transfer during unsaturated flow in porous media are developed. The model equations rely on knowledge of three transport properties-relative permeability, capillary pressure, and effective thermal conductivity. Theoretical and empirical models for these three transport properties are presented and discussed. Results for predictions of heat transfer resulting from forced, unsaturated, convection from a horizontal surface are presented to elucidate the effects of the parameters that arise for the case of flow without change of phase. This is followed by a discussion of results which have been presented recently for systems involving a change in phase.

[1]  Leroy S. Fletcher,et al.  Effective Thermal Conductivity Within Packed Beds of Spherical Particles , 1989 .

[2]  O. Plumb,et al.  Film Condensation on a Vertical Flat Plate in a Packed Bed , 1990 .

[3]  P. Cheng,et al.  Film condensation along an inclined surface in a porous medium , 1981 .

[4]  К. E. Torrance.  PHASE-CHANGE HEAT TRANSFER IN POROUS MEDIA , 1986 .

[5]  Stephen Whitaker,et al.  DRYING GRANULAR POROUS MEDIA - THEORY AND EXPERIMENT , 1983 .

[6]  S. L. Chu,et al.  Thermal Behavior of Unconsolidated Oil Sands , 1974 .

[7]  Capillary effects on film condensation in porous media , 1984 .

[8]  Michel Quintard,et al.  Two-phase flow in heterogeneous porous media: The method of large-scale averaging , 1988 .

[9]  Stephen Whitaker,et al.  Heat conduction in multiphase systems—I: Theory and experiment for two-phase systems , 1985 .

[10]  Wilfried Brutsaert,et al.  PROBABILITY LAWS FOR PORE-SIZE DISTRIBUTIONS , 1966 .

[11]  Kent S. Udell,et al.  Heat transfer in porous media considering phase change and capillarity—the heat pipe effect , 1985 .

[12]  Thomas C. Frick,et al.  Petroleum production handbook , 1962 .

[13]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[14]  C. Chan,et al.  Conductance of packed spheres in vacuum , 1973 .

[15]  O. A. Plumb,et al.  Condensation in a Porous Region Bounded by a Cold Vertical Surface , 1992 .

[16]  N. Sitar,et al.  Nonaqueous phase liquid transport and cleanup: 2. Experimental studies , 1988 .

[17]  R. Carbonell,et al.  Heat conduction in multiphase systems—II: Experimental method and results for three-phase systems , 1985 .

[18]  Y. Mualem.  A New Model for Predicting the Hydraulic Conductivity , 1976 .

[19]  C. L. Tien,et al.  An experimental investigation of film condensation in porous structures , 1987 .

[20]  P. Witherspoon,et al.  Study of two-phase concurrent flow of steam and water in an unconsolidated porous medium , 1985 .

[21]  Kenneth E. Torrance,et al.  Boiling in low-permeability porous materials , 1982 .

[22]  D. R. Nielsen,et al.  A consistent set of parametric models for the two‐phase flow of immiscible fluids in the subsurface , 1989 .

[23]  M. Kaviany.  Boundary-layer treatment of film condensation in the presence of a solid matrix , 1986 .

[24]  Y. Yortsos,et al.  Heat transfer ahead of moving condensation fronts in thermal oil recovery processes , 1982 .

[25]  Vijay K. Dhir,et al.  Dryout Heat Fluxes for Inductively Heated Particulate Beds , 1977 .

[26]  M. C. Leverett,et al.  Capillary Behavior in Porous Solids , 1941 .

[27]  R. H. Brooks,et al.  Properties of Porous Media Affecting Fluid Flow , 1966 .

[28]  C. L. Tien,et al.  Effects of Surface Tension on Film Condensation in a Porous Medium , 1990 .

[29]  G. R. Hadley,et al.  Thermal conductivity of packed metal powders , 1986 .

[30]  W. Woodside,et al.  Thermal Conductivity of Porous Media. II. Consolidated Rocks , 1961 .